3723675648 has 384 divisors, whose sum is σ = 13133352960. Its totient is φ = 908328960.

The previous prime is 3723675623. The next prime is 3723675667. The reversal of 3723675648 is 8465763273.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 3723675648.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8042265 + ... + 8042727.

It is an arithmetic number, because the mean of its divisors is an integer number (34201440).

Almost surely, 2^3723675648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3723675648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6566676480).

3723675648 is an abundant number, since it is smaller than the sum of its proper divisors (9409677312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3723675648 is a wasteful number, since it uses less digits than its factorization.

3723675648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 503 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 51.

The square root of 3723675648 is about 61021.9275998391. The cubic root of 3723675648 is about 1549.9723405401.

It can be divided in two parts, 372367 and 5648, that added together give a triangular number (378015 = T₈₆₉).

The spelling of 3723675648 in words is "three billion, seven hundred twenty-three million, six hundred seventy-five thousand, six hundred forty-eight".